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S-Bases in S-Linear Algebra

By David Carfí

Abstract

In this paper we define the S-bases for the spaces of tempered distributions. These new bases are the analogous of Hilbert bases of separable Hilbert spaces for the continuous case (they are indexed by m-dimensional Euclidean spaces) and enjoy properties similar to those shown by algebraic bases in the finite dimensional case. The S-bases are one possible rigorous and extremely manageable mathematical model for the "physical" bases used in Quantum Mechanics

Topics: Mathematics - Functional Analysis, Quantum Physics
Year: 2011
OAI identifier: oai:arXiv.org:1104.3324
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